4. If f is a differentiable function of a and y with w f(x, y), x =r cos 0 and y = r sin 0, %3D show that 2 1 ar r2 dy

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 23E: Find derivatives of the functions defined as follows. fz=2z+e-z22
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4. If f is a differentiable function of a and y
with w = f(x, y), x =r cos 0 and y = r sin 0,
%3D
show that
2
2
1 (dw
ar
r2
Transcribed Image Text:4. If f is a differentiable function of a and y with w = f(x, y), x =r cos 0 and y = r sin 0, %3D show that 2 2 1 (dw ar r2
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